GCF of 1853/414, 7245/7590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1853/414, 7245/7590 i.e 1/22770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1853/414, 7245/7590.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1853/414,7245/7590?
Given fractions are 1853/414,7245/7590
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1853/414,7245/7590, numerators are 1853,7245
Denominators are 414,7590
The GCF of 1853,7245 is 1 .
LCM of 414,7590 is 22770.
The greatest common factor of 1853/414,7245/7590 = [GCF of 1853,7245]/[LCM of 414,7590]= 1/22770
Therefore, the GCF of 1853/414,7245/7590 is 1/22770.
To find the highest common factor of 1853,7245, we have to find the factors of both numbers and list the highest common factor.
The factors of 1853 are 1, 17, 109, 1853
The factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245
The HCF of 1853,7245 is 1.
Lets's calculate GCF of 1853,7245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1853,7245 By Matching Biggest Common Factor Method
Now, list down the factors of 1853
:1,17,109,1853
Now, list down the factors of 7245
:1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Greatest Common Factor
We found the factors 1853,7245 . The biggest common factor number is the GCF number.
So the greatest common factor 1853,7245 is 1.
Lets's calculate LCM of 414,7590
| 2 | 414, 7590 |
| 3 | 207, 3795 |
| 23 | 69, 1265 |
| 3, 55 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 3 x 55 = 22770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22770
Therefore, the GCF of Fractions 1853/414,7245/7590 is 1/22770
Least Common Multiple of 414,7590 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 414,7590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,7590) = 138
common factors(in case of two or more numbers have common factors) = 1
GCF(414,7590) x common factors =138 x 1 = 138
LCM(414,7590) = ( 414 × 7590 ) / 138
LCM(414,7590) = 3142260 / 138
LCM(414,7590) = 22770
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FAQs on GCF of Fractions of 1853/414, 7245/7590
1. What is the HCF of 1853,7245?
The HCF of 1853,7245 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1853/414, 7245/7590?
Answer: GCF of Numerators as per given numbers 1853/414, 7245/7590 is
GCF of Numerators i.e. for 1853,7245 is 1
LCM of denominators i.e. for 414,7590 is 22770.
Thus, GCF of Fractions is 1/22770.Finally, GCF of Fractions for 1853/414, 7245/7590 is 1/22770.